Search a number
-
+
222311242113222 = 233743487448310667
BaseRepresentation
bin110010100011000011011110…
…100111011010000011000110
31002011010202011200212222002010
4302203003132213122003012
5213114321410440110342
62104452212535155050
764553312552216343
oct6243033647320306
91064122150788063
10222311242113222
1164920739592529
1220b254a9215a86
139707b24a70b82
143cc7cc89697ca
151aa7c5b52829c
hexca30de9da0c6

222311242113222 has 128 divisors (see below), whose sum is σ = 468366637584384. Its totient is φ = 70257305155968.

The previous prime is 222311242113139. The next prime is 222311242113269.

It is a happy number.

222311242113222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2223112421132222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222311242113222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20841022333 + ... + 20841032999.

It is an arithmetic number, because the mean of its divisors is an integer number (3659114356128).

Almost surely, 2222311242113222 is an apocalyptic number.

222311242113222 is an abundant number, since it is smaller than the sum of its proper divisors (246055395471162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222311242113222 is a wasteful number, since it uses less digits than its factorization.

222311242113222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722.

The product of its digits is 9216, while the sum is 30.

The spelling of 222311242113222 in words is "two hundred twenty-two trillion, three hundred eleven billion, two hundred forty-two million, one hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 37 43 74 86 111 129 222 258 487 974 1461 1591 2922 3182 4483 4773 8966 9546 10667 13449 18019 20941 21334 26898 32001 36038 41882 54057 62823 64002 108114 125646 165871 192769 331742 385538 394679 458681 497613 578307 774817 789358 917362 995226 1156614 1184037 1376043 1549634 2183221 2324451 2368074 2752086 4366442 4648902 5194829 6549663 7132453 10389658 13099326 14264906 15584487 16971197 21397359 31168974 33942394 42794718 47820161 50913591 80779177 93878503 95640322 101827182 143460483 161558354 187757006 192208673 223377647 242337531 281635509 286920966 384417346 446755294 484675062 563271018 576626019 670132941 1153252038 1340265882 1769345957 2056266923 3473504611 3538691914 4112533846 5308037871 6168800769 6947009222 8264972939 10420513833 10616075742 12337601538 16529945878 20841027666 23288418407 24794918817 46576836814 49589837634 69865255221 76081876151 139730510442 152163752302 228245628453 456491256906 861671481059 1001401991501 1723342962118 2002803983002 2585014443177 3004205974503 5170028886354 6008411949006 37051873685537 74103747371074 111155621056611 222311242113222